Articles with "exceptional collection" as a keyword



Endomorphism Algebras of Equivariant Exceptional Collections

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Published in 2025 at "Algebras and Representation Theory"

DOI: 10.1007/s10468-025-10313-0

Abstract: Given an action of a finite group on a triangulated category with a suitable strong exceptional collection, a construction of Elagin produces an associated strong exceptional collection on the equivariant category. In the untwisted case,… read more here.

Keywords: exceptional collection; algebra; endomorphism algebras; algebras equivariant ... See more keywords

A maximally-graded invertible cubic threefold that does not admit a full exceptional collection of line bundles

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Published in 2020 at "Forum of Mathematics, Sigma"

DOI: 10.1017/fms.2020.44

Abstract: Abstract We show that there exists a cubic threefold defined by an invertible polynomial that, when quotiented by the maximal diagonal symmetry group, has a derived category that does not have a full exceptional collection… read more here.

Keywords: line bundles; full exceptional; cubic threefold; exceptional collection ... See more keywords